An amount of ₹10000 is invested in two parts at 8% and 6% per annum simple interest. If the total interest earned after 3 years is ₹2070, determine the sum invested at each rate.
ATQ, Let ₹x be invested at 8%, then ₹(10,000 – x) at 6%. Total interest = x × 8% × 3 + (10,000 - x) × 6% × 3 = 2070 0.24x + 0.18(10,000 - x) = 2070 0.24x + 1800 – 0.18x = 2070 0.06x = 270 x = ₹4500 10,000 – x = 5500
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